2 papers
math.CA2026
Middle Laplace transform and middle convolution for linear Pfaffian systems with irregular singularities
Shunya Adachi
We introduce a transformation of linear Pfaffian systems, which we call the middle Laplace transform, as a formulation of the Laplace transform from the perspective of Katz theory.…
math.AG2026
On the Riemann-Hilbert problem for hyperplane arrangements with a good line
Shunya Adachi, Kazuki Hiroe
We study a variant of the Riemann-Hilbert problem on the complements of hyperplane arrangements. This problem asks whether a given local system on the complement can be realized as…